where, \(|\psi _{AC}\rangle _{i} = \langle i_{B}|\psi _{ABC}\rangle \quad \text{and} \quad |\psi _{AB}\rangle _{i} = \langle i_{C}|\psi _{ABC}\rangle \)  are the post measurement vectors corresponding to \(B\)  and \(C\)  respectively. For the GHZ and GHZ like states, the 3-tangle obtained is one and vanishes for the W-state. The global entanglement for W state is also not maximal and has value \(2\sqrt{2}\)  as compared to 3 for GHZ and GHZ like states. Therefore, the amount of entanglement in the GHZ and GHZ like states is different from the W-state. These states belong to two inequivalent classes under stochastic local operations and classical communications (SLOCC) [1]}.
